scholarly journals Plastic stress intensity factor behavior at small and large scale yielding

2020 ◽  
Vol 14 (53) ◽  
pp. 223-235
Author(s):  
Alexander Zakharov ◽  
Valery Shlyannikov ◽  
Anastasia Tartygasheva
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Large Scale ◽  
Scale Yielding ◽  
Plastic Stress

Plastic Stress Intensity Factors for Small Scale Yielding in Antiplane Shear by Caustics

1982 ◽  
Vol 49 (4) ◽  
pp. 754-760 ◽  
Author(s):  
P. S. Theocaris ◽  
C. I. Razem
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Crack Tip ◽  
Antiplane Shear ◽  
Elastic Behavior ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Scale Yielding ◽  
Plastic Stress

The KIII-stress intensity factor in an edge-cracked plate submitted to antiplane shear may be evaluated by the reflected caustic created around the crack tip, provided that a purely elastic behavior exists at the crack tip [1]. For a work-hardening, elastic-plastic material, when stresses at the vicinity of the crack tip exceed the yield limit of the material, the new shape of caustic differs substantially from the corresponding shape of the elastic solution. In this paper the shape and size of the caustics created at the tip of the crack, when small-scale yielding is established in the vicinity of the crack tip, were studied, based on a closed-form solution introduced by Rice [2]. The plastic stress intensity factor may be evaluated from the dimensions of the plastic caustic. Experimental evidence with cracked plates made of opaque materials, like steel, corroborated the results of the theory.

scholarly journals Plastic Stress Intensity Factor for a V-Shaped Notch.

2000 ◽  
Vol 66 (645) ◽  
pp. 1039-1045 ◽  
Author(s):  
Kuniharu USHIJIMA ◽  
Dai-Heng CHEN ◽  
Naoto KITTE
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Plastic Stress

Constraint Based Assessments of Large-Scale Cracked Straight Pipes and Elbows

2015 ◽  
Author(s):  
Marius Gintalas ◽  
Robert A. Ainsworth
Keyword(s):  
Fracture Toughness ◽  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Large Scale ◽  
Initiation Point ◽  
T Stress ◽  
Advanced Analysis ◽  
Material Fracture ◽  
Fracture Toughness Specimen

The paper presents T-stress solutions developed to characterize constraint levels in large-scale cracked pipes and elbows. Stress intensity factor, KI, solutions for pipes and elbows are normalised by material fracture toughness to define the Kr parameter in fitness-for-service procedures, such as R6. Adding knowledge on levels of T-stress allows more advanced analysis through a normalised constraint parameter βT. The paper presents analyses for 6 pipes and 8 elbows. Values of the normalised constraint parameter βT are calculated for each pipe and elbow at the experimentally measured crack initiation point. Comparison of constraint levels in the pipes and elbows with those in various types of fracture toughness specimen are used to predict the initiation loads using the R6 method and to provide guidelines for transferability.

Study of the Plastic Stress Intensity Factor for V-Shaped Notch Problems

2003 ◽  
Vol 243-244 ◽  
pp. 303-308
Author(s):  
Kuniharu Ushijima ◽  
Dai Heng Chen ◽  
Naoto Kitte
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Plastic Stress

Plastic Stress Intensity Factors in Steady Crack Growth

1987 ◽  
Vol 54 (2) ◽  
pp. 379-387 ◽  
Author(s):  
P. Ponte Castan˜eda
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Trial Function ◽  
Plastic Material ◽  
Small Scale ◽  
Mode Iii ◽  
Variational Statement ◽  
Plastic Stress ◽  
Asymptotic Fields

The asymptotic stress and deformation fields of a crack propagating steadily and quasi-statically into an elastic-plastic material, characterized by J2-flow theory with linear strain-hardening, were first determined by Amazigo and Hutchinson (1977) for the cases of mode III and mode I (plane strain and plane stress). Their solutions were approximate in that they neglected the possibility of plastic reloading on the crack faces. This effect was taken into account by Ponte Castan˜eda (1987b), who also introduced a new formulation for the (eigenvalue) problem in terms of a system of first order O.D.E.’s in the angular variations of the stress and velocity components. The strength of the power-type singularity, serving as the eigenvalue, and the angular variations of the field were determined as functions of the hardening parameter. The above analysis, however, does not determine the amplitude factor of these near-tip asymptotic fields, or plastic stress intensity factor. In this work, a simple, approximate technique based on direct application of a variational statement of compatibility is developed under the assumption of small scale yielding. A trial function for the stress function of the problem, that makes use of the asymptotic information in the near-tip and far-field limits, is postulated. Such a trial function depends on arbitrary parameters that measure the intensity of the near-tip fields and other global properties of the solution. Application of the variational statement then yields optimal values for these parameters, and in particular determines the plastic stress intensity factor, thus completing the knowledge of the near-tip asymptotic fields. The results obtained by this novel method are compared to available finite element results.

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